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Finding the Third Proportional to 27,946 and 37,974

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Solution

The third proportional to 27,946 and 37,974 is: 51,600.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,946 : 37,974 = 37,974 : x
  2. Step 2: Convert to fraction form
    27,946/37,974 = 37,974/x
  3. Step 3: Cross multiply
    27,946x = 37,974 × 37,974
  4. Step 4: Simplify right side
    27,946x = 1,442,024,676
  5. Step 5: Solve for x
    x = 1,442,024,676/27,946
  6. Step 6: Final answer
    x = 51,600.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.